Modeling is a major topic of interest in mathematics education. However, the field's definition of models is diverse. Less is known about what teachers identify as mathematical models, even though it is teachers who ultimately enact modeling activities in the classroom. In this study, we asked nine middle school teachers with a variety of academic…

Action-Process-Object-Schema (APOS) theory and tools resulting from dialogue with the Anthropological Theory of the Didactic (ATD) were used to analyse data from semi-structured interviews and teaching materials to study students' understanding of the relationship between tangent planes and the total differential. Results of the study show…

This research aims to reveal the importance of science and mathematics education, children's natural curiosity towards science, and teachers' deficiencies and opinions in this area. In this study, where the qualitative method is preferred, the special case method, which enables in-depth research within a specific subject, is used. The study group…

This manuscript presents findings from a study about the knowledge for and planned teaching of standard deviation. We investigate how understanding variance as an unbiased (inferential) estimator--not just a descriptive statistic for the variation (spread) in data--is related to teachers' instruction regarding standard deviation, particularly…

There is a great deal of overlap between the set of practices collected under the term "computational thinking" and the mathematical habits of mind that are the focus of much mathematics instruction. Despite this overlap, the links between these two desirable educational outcomes are rarely made explicit, either in classrooms or in the…

The education and professional development of pre-service mathematics teachers occur across different contexts. Key contexts of mathematics learning and learning to teach are school, university undergraduate mathematics and mathematics teaching-related learning in teacher education courses. International literature suggests that each of these…

This study aims to analyze how the Mathematics Teacher Candidates (MTCs) define the "prism" and "pyramid" concepts in geometry. The research was carried out in 2017-2018 academic year with 92 MTCs. This test consists of 3 open-ended questions that MTCs can answer conceptually. The first openended question was as "Define a…

This paper reports on a professional development activity (PD) for course leaders, which was designed within the European project Primas (2010-13, www.primas-project.eu). Primas aimed at the implementation of inquiry-based learning (IBL) in day-to-day teaching on a large scale. The focus is on the education of mathematics course leaders in…

In this study, it was aimed to investigate the effect of lesson study, a professional development model, on the perceptions of middle school mathematics teachers about subject area competencies and the views of the teachers about this model. In this study, which was conducted with a qualitative research method, the data were collected through…

The aim of this study was to implement and evaluate the instructional design prepared as consumer-oriented and based upon interdisciplinary curriculum. In this study, case study approach, which is one of the qualitative research patterns, was employed. Observations, interviews and document analysis were used to collect data. For analyzing the…

Children start to develop number sense even well before they start the school. Developing number sense serves as an intermediate tool for learning conventional mathematics taught in schools. This number sense has three key areas: number knowledge, counting and arithmetic operations. As a result, the aim of this study was to examine aged related…

The flipped classroom is gaining acceptance in higher education as an alternative to more traditional methods of teaching. In the current study, twelve students in a Norwegian higher education institution were in-depth interviewed about their learning experiences in a two-semester long mathematics course. The first semester was taught using…

Engineering design places unique demands on teachers, as students are coming up with new, unanticipated ideas to problems along often unpredictable trajectories. These demands motivate a responsive approach to teaching, in which teachers attend their students' thinking and flexibly adapt their instructional plans and objectives. A great deal of…

The belief that mathematics ability is a fixed trait is particularly common and may be a key reason for many students' disinterest and underperformance in mathematics. This study investigates how mathematics teaching practices might contribute to students' beliefs about mathematics ability being a fixed or malleable trait (mindset). Through a…

The present paper presents three deliberately chosen mathematical episodes observed in a class of engineering students taking a basic calculus course. By drawing on analyses of instrumental and relational learning strategies, the episodes are shown to illustrate instrumental approaches indicated by the students. The paper discusses positive…